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Finding the Third Proportional to 1,397,025 and 2,977,218

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Solution

The third proportional to 1,397,025 and 2,977,218 is: 6,344,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,025 : 2,977,218 = 2,977,218 : x
  2. Step 2: Convert to fraction form
    1,397,025/2,977,218 = 2,977,218/x
  3. Step 3: Cross multiply
    1,397,025x = 2,977,218 × 2,977,218
  4. Step 4: Simplify right side
    1,397,025x = 8,863,827,019,524
  5. Step 5: Solve for x
    x = 8,863,827,019,524/1,397,025
  6. Step 6: Final answer
    x = 6,344,787.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.